Robust Control for Systems with Mixed Perturbations

本文研究的是具有不确定性系统的控制设计问题。对于参数不确定性，研究将集中在稳定性和性能问题上，目的是减少与这些测量相关的计算复杂性。在信号空间和结构空间扰动的不同建模假设下，研究了结构范数有界扰动下系统的鲁棒稳定性属性的观点。调查将包括，使用灵敏度分析技术设计自适应控制器的问题，以及缓慢变化的系统。这种方法在工厂和控制器参数化方面具有更大的灵活性。在灵敏度分析的基础上设计的自适应系统在许多应用中都是非常成功的。然而，这种系统的完整的理论分析是不可用的，性能要求遇到许多参数障碍。

The proposed research is concerned with control design for systems with uncertainties. For parametric uncertainties the investigation will focus on both stability and performance issues with the purpose of reducing the computational complexity associated with such measures. The systems subjected to structured norm-bounded perturbations will be investigated for robust stability under different modeling assumptions on the perturbations from both the signal spaces and structural properties points of view. The investigation will include, the problem of designing adaptive controllers using the techniques of sensitivity analysis, and slowly varying systems. This approach allows greater flexibility in the plant and controller parametrization. Self-adapting systems designed on the basis of sensitivity analysis have proved to be very successful in many applications. However, a complete theoretical analysis of such systems is not available, and the performance requirements encounter many parametric obstacles.